data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Sebastian, Isabella, Lily, Avery, and Henry. Sebastian said, \"Isabella is a devil.\" \"(Sebastian is an angel if and only if Avery is an angel) or (Av... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1832, \"statements\": [[\"lying\", 1], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\", 4],... | {"split": "train", "index": 8500} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Henry, Sofia, Jackson, Owen, and Avery. Henry stated, \"(Avery is an angel) and Owen is a devil\". In a statement by Sofia: \"if (Sofia is an angel and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1833, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"lying\", 3]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 0]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\"... | {"split": "train", "index": 8501} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Mason, Aiden, Noah, and Grace. David was heard saying, \"it is not the case that (Grace is a knight and David is a knight)\". \"Noah is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1834, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 3], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"lying\", 1], [\"lying\", 4], [\"lying\", 1]],... | {"split": "train", "index": 8502} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Abigail, Sebastian, Riley, Luke, and Evelyn. Abigail said that it is not the case that (Riley is a saint or Luke is a sinner). In a statement by Seba... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1835, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"not\", [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-t... | {"split": "train", "index": 8503} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, William, Ella, Michael, and Lucas. Evelyn told you that (Michael is an altruist) if and only if (if Lucas is an egoist then Michael is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1836, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"<=>\", [\"<=>\", [\"lyi... | {"split": "train", "index": 8504} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Luke, Michael, Aurora, Jacob, and Ava. Luke said, \"(Jacob is a knave and Luke is a knight) or (Michael is a knave if and only if Luke is a knight).\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1837, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"lying\", 3], [\"lying\", 1], [\"telling-truth\", 0], [\"not\", [\"lying\", 3]]], \"solut... | {"split": "train", "index": 8505} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Avery, Riley, Mia, Michael, and Amelia. Avery told you that Amelia is a saint. Riley noted, \"if (if Avery is a sinner then Avery is a saint) then Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1838, \"statements\": [[\"telling-truth\", 4], [\"->\", [\"->\", [\"lying\", 0], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"and\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\... | {"split": "train", "index": 8506} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: David, Luke, Charlotte, Owen, and Benjamin. David noted, \"if Owen is a knave then (Owen is a knight)\". Luke told you that Charlotte is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1839, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"lying\", 3]]], [\"and\", [\"telling-truth\", 2], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"lying\", 4], [\"lying\", 1]], [\"telling-tr... | {"split": "train", "index": 8507} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jacob, William, Logan, Scarlett, and Samuel. \"(Scarlett is a fool or Samuel is a sage) or (if Scarlett is a sage then Samuel is a sage),\" Jacob claimed. ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1840, \"statements\": [[\"or\", [\"or\", [\"lying\", 3], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"lying\", 3], [\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 0]], [\"<=>\"... | {"split": "train", "index": 8508} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sophia, Penelope, Mason, Lucas, and Grace. In a statement by Sophia: \"(Mason is a sage and Penelope is a sage) or (Grace is a fool if and only if Lucas is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1841, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"->\", [\"telling-truth\", 4], [\"->\", [\"lying\", 3], [\"lying\", 0]]], [\"not\", [\"->... | {"split": "train", "index": 8509} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jackson, Grace, Scarlett, Lucas, and Owen. Jackson told you that (if Owen is an angel then Jackson is an angel) or (if Grace is an angel then Jackson i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1842, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"tell... | {"split": "train", "index": 8510} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, Isabella, Lucas, Ava, and Sebastian. Penelope asserted: \"if (Isabella is a sinner) then (if Lucas is a sinner then Ava is a saint)\". Isab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1843, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 0], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-tru... | {"split": "train", "index": 8511} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Joseph, Abigail, Elizabeth, Oliver, and Mia. Joseph commented, \"Mia is a pioneer and Abigail is a pioneer\". In a statement by Abigail: \"(Abi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1844, \"statements\": [[\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"lying\", 1], [\"and\",... | {"split": "train", "index": 8512} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emily, Sebastian, Daniel, Lily, and Luke. Emily said that (Emily is a fool) or Emily is a sage. In Sebastian's words: \"it is not the case that (Daniel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1845, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 0]], [\"not\", [\"and\", [\"lying\", 2], [\"lying\", 4]]], [\"not\", [\"->\", [\"lying\", 1], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", ... | {"split": "train", "index": 8513} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Benjamin, Lucas, Amelia, and Penelope. Chloe expressed that it is not the case that (Amelia is a fool). \"(Benjamin is a sage and Amelia is a fool) ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1846, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 3]]], [\"or\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"... | {"split": "train", "index": 8514} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, Aurora, Penelope, Sebastian, and Aria. Lily noted, \"(Penelope is a laggard if and only if Sebastian is a pioneer) and (if Lily is a pion... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1847, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 0]], [\"telling-truth\", 2]], [\"<=>\", [\"... | {"split": "train", "index": 8515} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aurora, Owen, Emma, Sebastian, and Matthew. Aurora stated, \"(Matthew is a devil or Emma is an angel) and (Aurora is an angel or Matthew is a devil)\".... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1848, \"statements\": [[\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"telling-truth\", 3]... | {"split": "train", "index": 8516} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mia, Penelope, Oliver, Victoria, and Grace. Mia was heard saying, \"Penelope is a saint\". Penelope said that if (Grace is a sinner if and only if Pe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1849, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 4]], [\"telling-truth\", 4]]... | {"split": "train", "index": 8517} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Emma, Avery, Aria, Scarlett, and Zoey. Emma said that if (Scarlett is an altruist and Emma is an altruist) then Avery is an altruist. In a stat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1850, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 1]], [\"and\", [\"or\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]],... | {"split": "train", "index": 8518} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Daniel, Victoria, Owen, Logan, and Jack. Daniel asserted: \"it is not the case that (if Owen is a villain then Logan is a hero)\". In a statement by ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1851, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"lying\", 4], [\"not\", [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 0], [\"lying\", 4]]], [\"and\", [\"lying\"... | {"split": "train", "index": 8519} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Abigail, Matthew, Sebastian, and Jacob. Ethan said that it is not the case that (if Abigail is a villain then Matthew is a villain). Abigail r... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1852, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 2]]], [\"telling-truth\", 3], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"lying\", 0]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"... | {"split": "train", "index": 8520} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: William, Matthew, Sophia, Benjamin, and Emma. \"if (Matthew is a sinner) then (William is a saint or Benjamin is a saint),\" William mentioned. Matth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1853, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]]], [\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 1], [\"ly... | {"split": "train", "index": 8521} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mia, William, Benjamin, Olivia, and Owen. In Mia's words: \"it is not the case that (if William is a hero then Olivia is a hero)\". According to Will... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1854, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"not\", [\"lying\", 0]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"lyin... | {"split": "train", "index": 8522} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Elizabeth, Olivia, Zoey, Ella, and Logan. As Elizabeth put it, \"(Zoey is a villain or Olivia is a hero) if and only if (Logan is a villain and Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1855, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"<=>\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 8523} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, William, David, Charlotte, and Joseph. In a statement by Zoey: \"(David is a laggard if and only if William is a laggard) or (Charlotte i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1856, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"and\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\... | {"split": "train", "index": 8524} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, Evelyn, Aurora, Jackson, and Charlotte. In Jacob's words: \"(Jacob is a saint or Aurora is a sinner) and (Aurora is a sinner)\". In Evelyn's w... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1857, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 2]]], [\"->\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"telling-trut... | {"split": "train", "index": 8525} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Evelyn, Chloe, Sebastian, Benjamin, and Lily. \"(Lily is an angel or Sebastian is an angel) and Benjamin is an angel,\" Evelyn mentioned. According to ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1858, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"telling-truth\", 3]], [\"->\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"and\", [\"o... | {"split": "train", "index": 8526} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, James, Liam, Alexander, and Penelope. Amelia noted, \"(if Liam is a devil then Alexander is a devil) or (Alexander is an angel or James is a de... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1859, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"<=>\", [\"lying\", 3], [\"telling-... | {"split": "train", "index": 8527} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Avery, Evelyn, Penelope, Victoria, and Harper. In a statement by Avery: \"Victoria is an angel\". Evelyn said that Harper is a devil and (Harper is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1860, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 1], [\"telling-tr... | {"split": "train", "index": 8528} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Samuel, Mason, Sofia, and Zoey. Evelyn said that if (Zoey is a knave if and only if Mason is a knight) then (Samuel is a knave or Mason is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1861, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"lying\", 4], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"->\", [\"lying\",... | {"split": "train", "index": 8529} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Amelia, Scarlett, Elizabeth, Emma, and Noah. \"Noah is a fool,\" Amelia mentioned. \"(Amelia is a fool) if and only if (if Amelia is a sage then Emma is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1862, \"statements\": [[\"lying\", 4], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]]], [\"->\", [\"lying\", 4], [\"and\", [\"lying\", 0], [\"lying\", 3]]], [\"telling-truth\", 2]... | {"split": "train", "index": 8530} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Aiden, Daniel, Samuel, and Abigail. \"(Lily is an altruist and Daniel is an altruist) and Abigail is an egoist,\" Lily claimed. Aiden tol... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1863, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 4]], [\"->\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]],... | {"split": "train", "index": 8531} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Penelope, Alexander, Luke, Riley, and Liam. In a statement by Penelope: \"(Luke is a knight and Alexander is a knight) if and only if (Alexander is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1864, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"not\", [\"lying\", 2]]], [... | {"split": "train", "index": 8532} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Mason, Jack, Emily, Joseph, and James. Mason said, \"if (Emily is a sinner and Jack is a sinner) then Mason is a saint.\" \"Joseph is a sinner and (J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1865, \"statements\": [[\"->\", [\"and\", [\"lying\", 2], [\"lying\", 1]], [\"telling-truth\", 0]], [\"and\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"lying\", 3], [\"telling-tru... | {"split": "train", "index": 8533} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Liam, Charlotte, Aria, Jacob, and Abigail. Liam stated, \"Abigail is a pioneer\". Charlotte commented, \"(Abigail is a pioneer or Jacob is a pi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1866, \"statements\": [[\"telling-truth\", 4], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"and\", [\"telling-truth\", 4], [\"tellin... | {"split": "train", "index": 8534} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Sophia, Isabella, Michael, Jack, and Charlotte. \"if Jack is an altruist then (Jack is an egoist if and only if Charlotte is an altruist),\" So... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1867, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"not\", [\"lying\", 3]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\"... | {"split": "train", "index": 8535} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Michael, Harper, Elizabeth, and Scarlett. Chloe asserted: \"Michael is a sage\". Michael told you that if Scarlett is a fool then Chloe is a sage. H... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1868, \"statements\": [[\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]], [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 8536} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Lily, Benjamin, Isabella, Aurora, and Owen. Lily stated, \"(if Aurora is a laggard then Owen is a pioneer) if and only if (Aurora is a pioneer ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1869, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"<=>\", [\"<=>\", [\"... | {"split": "train", "index": 8537} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, Oliver, Grace, Matthew, and Alexander. In a statement by Jacob: \"(Grace is a sinner or Oliver is a sinner) or (Oliver is a sinner)\". Oliver ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1870, \"statements\": [[\"or\", [\"or\", [\"lying\", 2], [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"telling-... | {"split": "train", "index": 8538} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Joseph, Jacob, Chloe, Benjamin, and Alexander. Joseph expressed that it is not the case that (Joseph is a devil). Jacob expressed that it is not the ca... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1871, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 4], [... | {"split": "train", "index": 8539} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Logan, Benjamin, Ella, Henry, and Sebastian. In Logan's words: \"Henry is a sinner\". \"it is not the case that (Henry is a saint),\" Benjamin declar... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1872, \"statements\": [[\"lying\", 3], [\"not\", [\"not\", [\"lying\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-... | {"split": "train", "index": 8540} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Jacob, Samuel, Sophia, and Aria. Amelia said that Samuel is a knave. \"(Samuel is a knave if and only if Amelia is a knave) and (Amelia is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1873, \"statements\": [[\"lying\", 2], [\"and\", [\"<=>\", [\"lying\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4]... | {"split": "train", "index": 8541} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Ella, Samuel, Sebastian, and Abigail. Zoey told you that if Samuel is a laggard then (Sebastian is a laggard if and only if Ella is a lag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1874, \"statements\": [[\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 1]]], [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 1], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"or\", [\"not\", [\"ly... | {"split": "train", "index": 8542} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Avery, Samuel, Alexander, Evelyn, and Zoey. Avery stated, \"if Evelyn is an angel then (if Evelyn is a devil then Samuel is a devil)\". As Samuel put i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1875, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 3], [\"lying\", 1]]], [\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", ... | {"split": "train", "index": 8543} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lily, Scarlett, Penelope, Abigail, and Michael. Lily stated, \"(Abigail is a knight and Penelope is a knave) or (Abigail is a knave and Penelope is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1876, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"lying\", 4]], [\"lying\", 4], [\"<=>... | {"split": "train", "index": 8544} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, Michael, Lily, Mason, and Luke. Matthew stated, \"Michael is a sage\". Michael asserted: \"Lily is a fool\". \"(Michael is a fool and Luke is a fo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1877, \"statements\": [[\"telling-truth\", 1], [\"lying\", 2], [\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"lying\", 1]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"or\", [\"telling-truth\", 2],... | {"split": "train", "index": 8545} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Penelope, Jackson, James, Benjamin, and Evelyn. Penelope said that (Benjamin is a sinner and Penelope is a saint) and (Jackson is a saint and Evelyn ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1878, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"telling-truth\", 3], [\"->\", [\"and\", [\"lying\", 4], [\"lying\", 1]], [\"<=>\", [\"t... | {"split": "train", "index": 8546} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Lily, Zoey, Logan, and Ella. Luke told you that if (if Logan is a pioneer then Zoey is a pioneer) then (Ella is a laggard and Logan is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1879, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 4], [\"telli... | {"split": "train", "index": 8547} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Abigail, Scarlett, Owen, Riley, and Mia. Abigail commented, \"(if Scarlett is a knave then Scarlett is a knight) if and only if (Riley is a knave or ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1880, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 1], [\"telling-truth\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 8548} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Abigail, Owen, David, Ava, and Ethan. Abigail stated, \"(David is a devil) or (Ava is a devil or Ava is an angel)\". According to Owen, \"(Ava is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1881, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 4]]], [\"... | {"split": "train", "index": 8549} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ethan, Zoey, Emma, Henry, and Chloe. \"(if Henry is a fool then Zoey is a fool) or (Emma is a sage and Chloe is a sage),\" Ethan mentioned. Zoey noted, \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1882, \"statements\": [[\"or\", [\"->\", [\"lying\", 3], [\"lying\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 4... | {"split": "train", "index": 8550} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emma, Oliver, Sebastian, Ella, and Aiden. Emma said that if (Oliver is a fool or Ella is a sage) then (Ella is a sage). Oliver noted, \"Sebastian is a sage... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1883, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]], [\"not\", [\"lying\", 3]]], [\"telling-truth\", 2], [\"telling-truth\", 1], [\"not\", [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"tell... | {"split": "train", "index": 8551} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sophia, Abigail, Michael, Scarlett, and Elizabeth. Sophia told you that (Scarlett is a knave) and Abigail is a knave. Abigail told you that Scarlett ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1884, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 1]], [\"lying\", 3], [\"not\", [\"not\", [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"lying\",... | {"split": "train", "index": 8552} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Amelia, Isabella, Mia, Chloe, and William. Amelia told you that Isabella is a laggard. Isabella asserted: \"(Chloe is a pioneer) or (Amelia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1885, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"<=>\", [\"lying\", ... | {"split": "train", "index": 8553} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Lucas, Charlotte, Jackson, and Jack. Aria noted, \"(if Charlotte is a knave then Jackson is a knave) or (if Jack is a knave then Charlotte is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1886, \"statements\": [[\"or\", [\"->\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 4], [\"lying\", 2]]], [\"telling-truth\", 3], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]], [\"and\", [\"lying\", 1]... | {"split": "train", "index": 8554} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Jackson, Emily, Elizabeth, Matthew, and Mia. Jackson stated, \"Elizabeth is a fool\". According to Emily, \"Mia is a sage\". \"Emily is a sage,\" Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1887, \"statements\": [[\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 1], [\"->\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"lying\", 0]]], [\"or\", [\"->\", [\"lying\", 0], [\"telling... | {"split": "train", "index": 8555} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Victoria, Chloe, Amelia, Emma, and Benjamin. Victoria stated, \"(if Victoria is a pioneer then Emma is a laggard) and (if Amelia is a laggard t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1888, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"or\", [\"telling-truth\", 3], [\"lying\", 2]], [\"<=>\", [\"lying\", 0], [\"tell... | {"split": "train", "index": 8556} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Matthew, Owen, Lucas, Oliver, and Daniel. Matthew expressed that (if Matthew is a knight then Oliver is a knight) if and only if (Lucas is a knight o... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1889, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"telling-truth\", 2], [\"lying\", 1]]], [\"not\", [\"and\", [\"lying\", 4], [\"lying\", 0]]], [\"and\", [\"not\", [\"telling... | {"split": "train", "index": 8557} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Zoey, Noah, Riley, Lucas, and Oliver. Zoey was heard saying, \"it is not the case that (Riley is a hero and Riley is a villain)\". Noah expressed tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1890, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"lying\", 3], [\"->\", [\"l... | {"split": "train", "index": 8558} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Elizabeth, Aurora, Riley, Sophia, and Luke. Elizabeth commented, \"if (Riley is a sage and Sophia is a fool) then (if Riley is a fool then Riley is a sage)... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1891, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 2], [\"lying\", 3]], [\"->\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"or\", [\"lying\", 4], [\"and\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"... | {"split": "train", "index": 8559} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Aiden, Avery, Jacob, and Sophia. According to Aurora, \"(if Avery is an egoist then Sophia is an egoist) and (Jacob is an egoist)\". \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1892, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 3]]], [\"lying\", 0], [\"->\", [\"->\", [\"lying\", 0], ... | {"split": "train", "index": 8560} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Harper, Michael, Alexander, Noah, and Mason. \"it is not the case that (if Mason is a fool then Alexander is a sage),\" Harper declared. In Michael's words... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1893, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"->\", [\"te... | {"split": "train", "index": 8561} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Sebastian, Joseph, Abigail, and Liam. \"it is not the case that (if Liam is a villain then Liam is a hero),\" Alexander claimed. Sebastian... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1894, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]], [\"lying\", 2]], [\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"->\... | {"split": "train", "index": 8562} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lucas, Henry, Victoria, Aurora, and Isabella. In a statement by Lucas: \"it is not the case that (Victoria is a devil and Isabella is an angel)\". \"(L... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1895, \"statements\": [[\"not\", [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\... | {"split": "train", "index": 8563} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Chloe, Jackson, Benjamin, Michael, and Evelyn. In Chloe's words: \"(Jackson is a knight or Jackson is a knave) if and only if (if Michael is a knave ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1896, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 1], [\"lying\", 1]], [\"->\", [\"lying\", 3], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 3], [\"lyi... | {"split": "train", "index": 8564} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ella, Penelope, Alexander, Emma, and James. In Ella's words: \"(Ella is a sage or Emma is a fool) if and only if (Ella is a sage and Alexander is a sage)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1897, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 2]]], [\"or\", [\"not\", [\"lying\", 4]], [\"and\", [\"lying\", 4], [\"lying\", 2]]], [\"... | {"split": "train", "index": 8565} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sofia, Logan, Emily, Jacob, and Noah. \"Logan is a knight,\" Sofia mentioned. In a statement by Logan: \"Noah is a knave\". Emily noted, \"(Sofia is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1898, \"statements\": [[\"telling-truth\", 1], [\"lying\", 4], [\"<=>\", [\"or\", [\"lying\", 0], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 4], [\"lying\... | {"split": "train", "index": 8566} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Evelyn, Joseph, Sophia, Amelia, and Aurora. \"if (if Amelia is a laggard then Amelia is a pioneer) then Joseph is a pioneer,\" Evelyn mentioned... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1899, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"telling-truth\", 3]], [\"telling-truth\", 1]], [\"or\", [\"->\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"<=>\"... | {"split": "train", "index": 8567} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Evelyn, Ella, Amelia, and Jacob. Logan said that if (Amelia is a knight if and only if Ella is a knave) then Ella is a knight. In Evelyn's wor... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1900, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"lying\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 2]]], [\"<=>\", [\"not\", [\"lying\"... | {"split": "train", "index": 8568} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Jacob, Grace, Emma, Riley, and Lucas. Jacob told you that (Emma is a sinner and Riley is a sinner) and (Riley is a sinner or Emma is a sinner). Grace... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1901, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"->\", [\"not\", [\"lying\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\... | {"split": "train", "index": 8569} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Lucas, Mia, Lily, and Michael. In Aria's words: \"Mia is a knave if and only if (if Mia is a knight then Mia is a knave)\". Lucas expressed tha... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1902, \"statements\": [[\"<=>\", [\"lying\", 2], [\"->\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 4]], [\"and\", [\"lying\", 3], [\"lying\", 0]]], [\"or\", [\"telling-t... | {"split": "train", "index": 8570} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Alexander, Sofia, Lily, and Samuel. In Aria's words: \"(Aria is an angel if and only if Alexander is a devil) and (Alexander is a devil and Samue... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1903, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]], [\"and\", [\"lying\", 1], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [... | {"split": "train", "index": 8571} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Luke, Elizabeth, Jacob, Abigail, and Penelope. \"(Penelope is a laggard) or Abigail is a pioneer,\" Luke declared. Elizabeth remarked, \"(Penel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1904, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"telling-truth\", 3]], [\"and\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"telling-truth\", 0]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"tell... | {"split": "train", "index": 8572} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Isabella, Logan, Oliver, Victoria, and Luke. As Isabella put it, \"(Victoria is a sage) or (Oliver is a sage and Luke is a sage)\". Logan stated, \"(Luke i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1905, \"statements\": [[\"or\", [\"not\", [\"lying\", 3]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 0], [\"t... | {"split": "train", "index": 8573} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Lily, Grace, Amelia, Ava, and Daniel. Lily asserted: \"(Grace is an altruist) if and only if (Ava is an egoist)\". In a statement by Grace: \"i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1906, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"<=>\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4]... | {"split": "train", "index": 8574} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Aiden, James, Jacob, Charlotte, and Ava. \"(Charlotte is a fool if and only if Charlotte is a sage) or (Jacob is a fool if and only if James is a sage),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1907, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 3]]], [\... | {"split": "train", "index": 8575} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Alexander, Joseph, Penelope, Jacob, and Chloe. Alexander expressed that if (Jacob is a devil) then (Chloe is an angel and Penelope is a devil). Joseph ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1908, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 4], [\"lying\", 2]]], [\"telling-truth\", 0], [\"<=>\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]], [\"or\", [\"tel... | {"split": "train", "index": 8576} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Joseph, James, Samuel, Alexander, and Riley. Joseph noted, \"if (Alexander is a sinner if and only if Samuel is a sinner) then (James is a saint and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1909, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 3]]], [\"telling-truth\", 2], [\"->\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]],... | {"split": "train", "index": 8577} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ava, Harper, Benjamin, Sebastian, and Luke. As Ava put it, \"(if Benjamin is a fool then Benjamin is a sage) if and only if (Sebastian is a sage if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1910, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"and\", [\"and\", [\"lying\", 2], [\"lying\", 3]], [\"or\", [\"lying\", 2], [\"lying\", 0... | {"split": "train", "index": 8578} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: David, James, Zoey, Jack, and Elizabeth. \"if (James is a saint if and only if Zoey is a saint) then (if James is a sinner then Jack is a saint),\" D... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1911, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 0]]],... | {"split": "train", "index": 8579} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Joseph, Mason, Emma, and Benjamin. According to Penelope, \"(Joseph is an angel or Benjamin is an angel) or (Mason is a devil or Benjamin is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1912, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"or\", [\"lying\", 2], [\"lying\", 4]]], [\"and\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying\", 2], [\"lyin... | {"split": "train", "index": 8580} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Aiden, Aria, Amelia, Ethan, and Logan. Aiden expressed that Aria is a saint. Aria told you that (Amelia is a saint) or (if Logan is a sinner then Eth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1913, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]... | {"split": "train", "index": 8581} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Victoria, Elizabeth, Michael, Benjamin, and Sophia. Victoria remarked, \"it is not the case that (if Sophia is a fool then Benjamin is a sage)\". Elizabeth... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1914, \"statements\": [[\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"lying\", 3]... | {"split": "train", "index": 8582} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Mia, Luke, Henry, James, and Owen. Mia noted, \"(Owen is a knave) if and only if (Henry is a knight or Mia is a knight)\". \"if (Luke is a knight and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1915, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"lying\", 4], [\"telling-tru... | {"split": "train", "index": 8583} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Oliver, Jackson, Owen, and Scarlett. In Lucas's words: \"if Owen is a knave then Oliver is a knave\". According to Oliver, \"(Lucas is a knave... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1916, \"statements\": [[\"->\", [\"lying\", 3], [\"lying\", 1]], [\"<=>\", [\"or\", [\"lying\", 0], [\"lying\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"lying\", 0], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"... | {"split": "train", "index": 8584} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Emma, Evelyn, Harper, Grace, and Penelope. Emma remarked, \"it is not the case that (Penelope is a devil if and only if Grace is a devil)\". Evelyn not... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1917, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 0]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"or\", [\"telling-truth\", 4], [\... | {"split": "train", "index": 8585} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Joseph, Noah, Michael, Jackson, and Mia. \"it is not the case that (Michael is a villain or Joseph is a hero),\" Joseph declared. Noah asserted: \"Jo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1918, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 0]]], [\"not\", [\"telling-truth\", 0]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 4], [\"te... | {"split": "train", "index": 8586} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Amelia, Emma, Michael, Sofia, and Ella. Amelia asserted: \"(Amelia is an egoist) or (if Sofia is an egoist then Emma is an altruist)\". In a st... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1919, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"lying\", 3]]], [\"->\", [\"and\", [\"telling-truth\", 0], [\"... | {"split": "train", "index": 8587} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Zoey, Evelyn, Aiden, Liam, and Michael. \"if (Zoey is a pioneer or Michael is a laggard) then (Aiden is a laggard or Liam is a pioneer)\" - Zoe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1920, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"->\", [\"lying\", 3], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"and... | {"split": "train", "index": 8588} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sofia, Jacob, Liam, Luke, and Abigail. \"it is not the case that (Liam is a saint if and only if Abigail is a saint),\" Sofia mentioned. \"(if Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1921, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]]], [\"<=... | {"split": "train", "index": 8589} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Avery, Sophia, Samuel, Olivia, and Emily. According to Avery, \"Emily is a fool\". \"Avery is a fool and (Emily is a sage)\" - Sophia. Samuel stated, \"Emi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1922, \"statements\": [[\"lying\", 4], [\"and\", [\"lying\", 0], [\"not\", [\"lying\", 4]]], [\"telling-truth\", 4], [\"->\", [\"or\", [\"lying\", 2], [\"lying\", 4]], [\"->\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\... | {"split": "train", "index": 8590} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Luke, Lucas, Zoey, and Isabella. \"if (if Lucas is a devil then Isabella is a devil) then (Isabella is a devil or Lucas is an angel),\" Riley cl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1923, \"statements\": [[\"->\", [\"->\", [\"lying\", 2], [\"lying\", 4]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 2], [\"lying\", 0]], [\"not\", [\"telling-truth\", 4]]], [\"->\... | {"split": "train", "index": 8591} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Abigail, Daniel, Zoey, James, and Aurora. In a statement by Abigail: \"(Zoey is a villain or James is a villain) if and only if (James is a hero if a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1924, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 2], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"and\", [\"lying\", 0], [\"lyi... | {"split": "train", "index": 8592} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Riley, Logan, Michael, David, and Ava. \"if (Michael is a knight if and only if Ava is a knight) then (Michael is a knave if and only if Ava is a kni... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1925, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 2]]], [\"->\", [\"or\", [\"... | {"split": "train", "index": 8593} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Scarlett, Harper, Zoey, Victoria, and Samuel. \"(Victoria is a knave and Victoria is a knight) and (if Harper is a knave then Samuel is a knight),\" ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1926, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"or\", [\"telling-truth\", 3... | {"split": "train", "index": 8594} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Logan, Scarlett, Jackson, Victoria, and Matthew. According to Logan, \"Scarlett is a knight and (Jackson is a knave and Victoria is a knave)\". \"Log... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1927, \"statements\": [[\"and\", [\"telling-truth\", 1], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"not\", [\"telling-truth\", 4]]... | {"split": "train", "index": 8595} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Riley, Chloe, Samuel, Ella, and Zoey. As Riley put it, \"(Riley is an angel and Ella is a devil) and (Riley is an angel if and only if Chloe is a devil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1928, \"statements\": [[\"and\", [\"and\", [\"telling-truth\", 0], [\"lying\", 3]], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3]... | {"split": "train", "index": 8596} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Sofia, Lily, Jack, Chloe, and Sophia. Sofia noted, \"if (Chloe is a laggard) then (Sofia is a laggard)\". Lily noted, \"(Sophia is a pioneer if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1929, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 3]], [\"or\", [\"lying\", 3], [\"lying\", 2]]], [\"telling-truth\", ... | {"split": "train", "index": 8597} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aurora, Sophia, Luke, Grace, and Michael. Aurora said that (Sophia is a knave if and only if Luke is a knight) and Aurora is a knight. As Sophia put ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1930, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]], [\"telling-truth\", 0]], [\"or\", [\"and\", [\"lying\", 0], [\"lying\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"not\", [\"t... | {"split": "train", "index": 8598} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Lucas, Sophia, Mason, and Charlotte. According to Olivia, \"Lucas is a fool\". In a statement by Lucas: \"if (Charlotte is a sage and Olivia is a f... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1931, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lyi... | {"split": "train", "index": 8599} |
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